Home
Class 11
MATHS
All the pair (x,y) that satisfy the ineq...

All the pair (x,y) that satisfy the inequality `2^(sqrt(sinx-2sinx+5)).(1)/(4^(sin^(2)y))le1` also satisfy the equation

A

`sinx=|siny|`

B

`sinx=2siny`

C

`2|sinx|=3siny`

D

`2sinx=siny`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)=-3/2

Find all the number 'a' for which any root of the equation sin 3x =a sin x +(4-2|a|)sin^(2) x is a root of the equation sin 3x + cos 2 x =1+2 sinx cos 2x and any root of the latter equation is a root of the former .

The number of pairs (x,y) which will satisfy the equation x^2-x y+y^2=4(x+y-4) is

Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(2) x))^(2)+( cos^(2)x+(1)/(cos^(2)x))^(2)=12+(1)/(2) siny.

Let x, y, z be elements from interval [0,2pi] satisfying the inequality (4+ sin 4 x )(2+ cot^(2) y)(1+ sin^(4) z) le 12 sin^(2) z , then

Prove that (sinx-sin3x)/(sin^(2)x-cos^(2)x)=2sinx

Find all number of pairs x,y that satisfy the equation tan^4 x + tan^(4)y+2 cot^(2)x * cot^(2) y=3+ sin^(2)(x+y) .

The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( sin^(2)x)+81^(cos^(2)x)=30 are

Number of ordered pair (x,y) which satisfies the relation (x^(4)+1)/(8x^(2))=sin^(2)y*cos^(2) y , where y in [0,2pi]

Let y=f(x) satisfies the equation f(x) = (e^(-x)+e^(x))cosx-2x-int_(0)^(x)(x-t)f^(')(t)dt y satisfies the differential equation